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6c+2=4c-6
We move all terms to the left:
6c+2-(4c-6)=0
We get rid of parentheses
6c-4c+6+2=0
We add all the numbers together, and all the variables
2c+8=0
We move all terms containing c to the left, all other terms to the right
2c=-8
c=-8/2
c=-4
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